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Finding the Third Proportional to 10,225,927 and 16,279,321

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Solution

The third proportional to 10,225,927 and 16,279,321 is: 25,916,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,927 : 16,279,321 = 16,279,321 : x
  2. Step 2: Convert to fraction form
    10,225,927/16,279,321 = 16,279,321/x
  3. Step 3: Cross multiply
    10,225,927x = 16,279,321 × 16,279,321
  4. Step 4: Simplify right side
    10,225,927x = 265,016,292,221,041
  5. Step 5: Solve for x
    x = 265,016,292,221,041/10,225,927
  6. Step 6: Final answer
    x = 25,916,114.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.